Abstract
We consider non-planar one-loop anomalous dimensions in maximally supersymmetric Yang-Mills theory and its marginally deformed analogues. Using the basis of Bethe states, we compute matrix elements of the dilatation operator and find compact expressions in terms of off-shell scalar products and hexagon-like functions. We then use non-degenerate quantum-mechanical perturbation theory to compute the leading 1/N2 corrections to operator dimensions and as an example compute the large R-charge limit for two-excitation states through subleading order in the R-charge. Finally, we numerically study the distribution of level spacings for these theories and show that they transition from the Poisson distribution for integrable systems at infinite N to the GOE Wigner-Dyson distribution for quantum chaotic systems at finite N.
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McLoughlin, T., Pereira, R. & Spiering, A. One-loop non-planar anomalous dimensions in super Yang-Mills theory. J. High Energ. Phys. 2020, 124 (2020). https://doi.org/10.1007/JHEP10(2020)124
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DOI: https://doi.org/10.1007/JHEP10(2020)124